How to create a MySQL user without password - needed for remote login - to be used in bash insert script?

My requirement is to create a user for remote login but without a password. At my remote space I use a bash script to do inserts, which is something like:

for i in {1..5000}; do
  mysql -h 11.40.3.169 -uUser -pPass -DDatabaseName <<<
    "insert into DatabaseTableName values('$i','dummy_$i');" &
  echo -n "$i  "
  sleep 1
  date
done

The problem is that each insert is taking almost 4 seconds, and I can not pinpoint the problem to anything but authentication at every insert. So, if I could create a user in MySQL with minimal authentication involved...Something like:

# I'm trying to remove this password
GRANT ALL PRIVILEGES TO 'user'@'%' IDENTIFIED BY 'password';

...Anything you can suggest.